A mimetic discretization method for linear elasticity
ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 2, pp. 231-250.

A Mimetic Discretization method for the linear elasticity problem in mixed weakly symmetric form is developed. The scheme is shown to converge linearly in the mesh size, independently of the incompressibility parameter λ, provided the discrete scalar product satisfies two given conditions. Finally, a family of algebraic scalar products which respect the above conditions is detailed.

DOI : 10.1051/m2an/2010001
Classification : 65N30, 65N12, 74B05
Mots clés : mimetic finite difference methods, linear elasticity, finite element methods, mixed formulation
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Beirão Da Veiga, Lourenco. A mimetic discretization method for linear elasticity. ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 2, pp. 231-250. doi : 10.1051/m2an/2010001. http://www.numdam.org/articles/10.1051/m2an/2010001/

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